Recording outcomes in a frequency table
Recording outcomes in a frequency table.
- Probability = favourable outcomes ÷ all outcomes when individual outcomes are equally likely.
- A probability lies between 0 and 1; complementary probabilities sum to 1.
- Experimental relative frequency estimates probability and can vary between samples.
Example 1
Record these outcomes in the table: R, G, R, R, G, R, R, G, R, R, G, R.
| Colour | Frequency |
|---|---|
| R | |
| B | |
| G |
| Colour | Frequency |
|---|---|
| R | 8 |
| B | 0 |
| G | 4 |
| Total | 12 |
Black: given data. Blue: working we add.
Tally each outcome once, then check that the frequencies sum to the number of trials.
Example 2
Record these outcomes in the table: B, R, B, B, R, B, B, R, B, B, R, B, B.
| Colour | Frequency |
|---|---|
| R | |
| B | |
| G |
| Colour | Frequency |
|---|---|
| R | 4 |
| B | 9 |
| G | 0 |
| Total | 13 |
Black: given data. Blue: working we add.
Tally each outcome once, then check that the frequencies sum to the number of trials.
Your turn
Record these outcomes in the table: G, B, G, G, B, G, G, B, G, G, B, G, G, B.
| Colour | Frequency |
|---|---|
| R | |
| B | |
| G |
Check answer
| Colour | Frequency |
|---|---|
| R | 0 |
| B | 5 |
| G | 9 |
| Total | 14 |
Black: given data. Blue: working we add.
Tally each outcome once, then check that the frequencies sum to the number of trials.
Record these outcomes in the table: R, G, R, R, G, R, R, G, R, R, G, R, R, G, R.
| Colour | Frequency |
|---|---|
| R | |
| B | |
| G |
Check answer
| Colour | Frequency |
|---|---|
| R | 10 |
| B | 0 |
| G | 5 |
| Total | 15 |
Black: given data. Blue: working we add.
Tally each outcome once, then check that the frequencies sum to the number of trials.
Record these outcomes in the table: B, R, B, B, R, B, B, R, B, B, R, B, B, R, B, B.
| Colour | Frequency |
|---|---|
| R | |
| B | |
| G |
Check answer
| Colour | Frequency |
|---|---|
| R | 5 |
| B | 11 |
| G | 0 |
| Total | 16 |
Black: given data. Blue: working we add.
Tally each outcome once, then check that the frequencies sum to the number of trials.
Record these outcomes in the table: G, B, G, G, B, G, G, B, G, G, B, G, G, B, G, G, B.
| Colour | Frequency |
|---|---|
| R | |
| B | |
| G |
Check answer
| Colour | Frequency |
|---|---|
| R | 0 |
| B | 6 |
| G | 11 |
| Total | 17 |
Black: given data. Blue: working we add.
Tally each outcome once, then check that the frequencies sum to the number of trials.
Record these outcomes in the table: R, G, R, R, G, R, R, G, R, R, G, R, R, G, R, R, G, R.
| Colour | Frequency |
|---|---|
| R | |
| B | |
| G |
Check answer
| Colour | Frequency |
|---|---|
| R | 12 |
| B | 0 |
| G | 6 |
| Total | 18 |
Black: given data. Blue: working we add.
Tally each outcome once, then check that the frequencies sum to the number of trials.
Record these outcomes in the table: G, B, G, G, B, G, G, B, G, G, B, G, G, B.
| Colour | Frequency |
|---|---|
| R | |
| B | |
| G |
| Colour | Frequency |
|---|---|
| R | 0 |
| B | 5 |
| G | 9 |
| Total | 14 |
Black: given data. Blue: working we add.
Tally each outcome once, then check that the frequencies sum to the number of trials.
Record these outcomes in the table: R, G, R, R, G, R, R, G, R, R, G, R, R, G, R.
| Colour | Frequency |
|---|---|
| R | |
| B | |
| G |
| Colour | Frequency |
|---|---|
| R | 10 |
| B | 0 |
| G | 5 |
| Total | 15 |
Black: given data. Blue: working we add.
Tally each outcome once, then check that the frequencies sum to the number of trials.
Record these outcomes in the table: B, R, B, B, R, B, B, R, B, B, R, B, B, R, B, B.
| Colour | Frequency |
|---|---|
| R | |
| B | |
| G |
| Colour | Frequency |
|---|---|
| R | 5 |
| B | 11 |
| G | 0 |
| Total | 16 |
Black: given data. Blue: working we add.
Tally each outcome once, then check that the frequencies sum to the number of trials.
Record these outcomes in the table: G, B, G, G, B, G, G, B, G, G, B, G, G, B, G, G, B.
| Colour | Frequency |
|---|---|
| R | |
| B | |
| G |
| Colour | Frequency |
|---|---|
| R | 0 |
| B | 6 |
| G | 11 |
| Total | 17 |
Black: given data. Blue: working we add.
Tally each outcome once, then check that the frequencies sum to the number of trials.
Record these outcomes in the table: R, G, R, R, G, R, R, G, R, R, G, R, R, G, R, R, G, R.
| Colour | Frequency |
|---|---|
| R | |
| B | |
| G |
| Colour | Frequency |
|---|---|
| R | 12 |
| B | 0 |
| G | 6 |
| Total | 18 |
Black: given data. Blue: working we add.
Tally each outcome once, then check that the frequencies sum to the number of trials.